Competition and dispersal in predator-prey waves

Area of Science:

• Ecology
• Mathematical Biology
• Population Dynamics

Background:

• Predator-prey interactions can generate complex spatio-temporal wave-like patterns.
• Dispersal strategies significantly influence population dynamics and competitive interactions.

Purpose of the Study:

• To investigate the impact of predator-prey density waves on interspecific competition.
• To analyze how different dispersal strategies affect competitive exclusion and coexistence.

Main Methods:

• Simulations of 1- and 2-dimensional discrete and continuous predator-prey models.
• Derivation of a theoretical framework to explain observed behaviors.
• Calculation of approximate analytical solutions for population dynamics.

Main Results:

• Populations with higher dispersal rates (faster diffusion, longer dispersal, higher probability) exclude those with lower rates.
• The nature of discrete vs. continuous models and specific interaction types did not alter the general outcome of wave-driven competition.
• Dispersal costs can reverse competitive hierarchies or facilitate coexistence, particularly in spiral wave cores.

Conclusions:

• Dispersal ability is a critical factor determining competitive success in wave-propagating predator-prey systems.
• A unifying theory explains competition dynamics across various model systems.
• The study provides insights into coexistence mechanisms, including those observed in host-parasitoid models.